The system of equations used to find roots of the equation is y=12x³-5x and y=2x²+x+6.
Given the equation is 12x³-5x=2x²+x+6.
A set of equations containing one or more variables is called a system of equations. The variable mappings that satisfy all component equations are the solutions to systems of equations.
Firstly, separate the given equation into two parts by equating the left-hand side and right-hand side with 0, we get
12x³-5x=0
2x²+x+6=0
Now, to make a system of equations replace 0 with y as we know that system of equations contains two variables, we get
12x³-5x=y
2x²+x+6=y
Hence, the system of equations used to find the roots of the equation 12x³-5x=2x²+x+6 is y=12x³-5x and y=2x²+x+6.
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